Pseudo equality algebras -- revision
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161652" target="_blank" >RIV/61989592:15310/16:33161652 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs00500-015-1888-x" target="_blank" >http://link.springer.com/article/10.1007%2Fs00500-015-1888-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-015-1888-x" target="_blank" >10.1007/s00500-015-1888-x</a>
Alternative languages
Result language
angličtina
Original language name
Pseudo equality algebras -- revision
Original language description
Recently Jenei introduced a new structure called equality algebras which is inspired by ideas of BCK-algebras with meet. These algebras were generalized by Jenei and Krdi to pseudo equality algebras which are aimed to find a connection with pseudo BCK-algebras with meet. We show that such pseudo equality algebras are an equality algebras. Therefore, we define a new type of algebras, called JK-algebras, which more precisely reflects the relation to pseudo BCK-algebras with meet in the sense of KabziA"ski and WroA"ski. We describe congruences via normal closed deductive systems, and we show that the variety of JK-algebras is subtractive, congruence distributive and congruence permutable.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/GA15-15286S" target="_blank" >GA15-15286S: Algebraic, many-valued and quantum structures for uncertainty modelling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Soft Computing: a fusion of foundations, methodologies and applications
ISSN
1432-7643
e-ISSN
—
Volume of the periodical
20
Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
11
Pages from-to
2091-2101
UT code for WoS article
000376103900001
EID of the result in the Scopus database
—